How to Calculate the Mass of Anhydrous Cu(NO3)2 from Its Hydrate?

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SUMMARY

The mass of the anhydrous compound Cu(NO3)2 calculated from its hydrate Cu(NO3)2 * 2.5 H2O is 3.931g when starting with 4.875g of the hydrated compound. The formula mass of Cu(NO3)2 is determined to be 187.57g, while the total formula mass of the hydrate is 232.62g, calculated by adding the mass contributions of copper, nitrogen, oxygen, and water. The ratio method used to find the mass of the anhydrous compound is confirmed to be correct.

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Homework Statement
What is the mass of the anhydrous compound in Cu(NO_{3})_{2} * 2.5 H_{2}O
, in other words, the Cu(NO_{3})_{2}, if 4.875g of the hydrated compound is used?


The attempt at a solution
What I did was find the formula mass of Cu(NO_{3})_{2} which turned out to be 187.57g
Cu= 1 * 63.55 = 63.55
N= 2 * 14.01 = 28.02
O = 6 * 16.00 = 96.00

The formula mass of the water is 45.05g
H= 2.5(1.01 * 2) = 5.05g
O= 2.5(16.00 * 1) = 40g

From here I set up a ratio:
4.875/232.62 = x/187.57
x = 3.931g of Cu(NO_{3})_{2}

Is this right?
 
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The method looks good.
 

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